International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 4, Pages 641-651
doi:10.1155/S0161171292000851
Some absolutely effective product methods
H.P. Dikshit1
and J.A. Fridy2
1Dept. of Math \& Computer Science, Rani Durgavati University, Jabalpur 482001, India
2Dept. of Math \& Computer Science, Kent State University, Kent 44242, Ohio, USA
Abstract
It is proved that the product method A(C,1), where (C,1) is the Cesàro arithmetic mean matrix, is totally effective under certain conditions concerning the matrix A. This general result is applied to study absolute Nörlund summability of Fourier series and other related series.